• 제목/요약/키워드: mathematical change

검색결과 878건 처리시간 0.024초

미분적분학 단계별 교육을 위한 교과내용 및 방법 연구 (A Study on a Step-wise level Educational Model for Calculus)

  • 심재동;하준홍;이경희;천창범
    • 한국수학교육학회지시리즈E:수학교육논문집
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    • 제19권4호
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    • pp.633-647
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    • 2005
  • The rapid change in school mathematics curricula occurred over last some periods requires lots of change or improvement in the education method for the university mathematics, especially in calculus. As an effort in this direction we restrict our concern to the freshmen of year 2002 of the Korea university of technology and education to investigate a correlation between their mathematics score on the national entrance examination and achievement score measured by their final grades in a calculus course. As a result of this research we propose a step-wise level educational model for the calculus education. In the model an appropriate teaching contents and method proceeding through the three steps are suggested and implementation issues are discussed. We believe that carrying out mathematics curricular are suggested in the model will be of service to calculus education particularly for student under the 7th national curriculum reform.

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數學 model 에 依한 漢江의 水質 ( 영양소농도 ) 에 미치는 人間의 影響에 關한 豫察 (Preliminary Assessment of Human Inpacts on Water Qualities (Nutrient Concentration) of the Han River on the Korean Peninsula, Based on a Mathematical Model)

  • Nakane, Kaneyuki;Mitsuo MItsudera;Yang-Jai Yim;Sa-Uk Hong
    • The Korean Journal of Ecology
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    • 제7권3호
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    • pp.109-118
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    • 1983
  • Near future dynamics of water qualities (nutrient concentration) of the Han River was predicted, based on a mathematical model representing the relationship between the nutrient concentration in th river wagter and environmental factors (population density, land-use types, rock compositions and nutrient accumulation) in the basin. The population density and land-use types were forecasted to change distinctly in the downstream area, especially in Seoul City area in 1985~1990 whereas any environmental factor was not expected to change its level significantly in both upstream and middle reaches areas. It was indicated by the model that the nutrients concentration in the up- and mid-streams would keep its level in future as it was, but it would increase drastially in the downstream area. For the preservation of the water qualities in the downstream at least to keep its level as it was in 1980, practical countermeasures were proposed, based on the assessment of the contribution of each environmental factor to the water qualities.

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개화기를 중심으로 살펴본 학교수학과 수학교육 (School Mathematics and Mathematics Education Focusing on the Change in the Enlightenment Period)

  • 차주연
    • 한국수학교육학회지시리즈E:수학교육논문집
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    • 제20권2호
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    • pp.207-214
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    • 2006
  • 수학의 논증수학과 실용수학으로 나누어 볼 수 있다. 우리나라의 수학은 실용수학에서 논증수학으로 그 성질이 변해 왔다고 볼 수 있는데 그 계기가 된 것이 개화기이다. 개화기에 새로운 수학이 등장하면서 겪게 된 변화를 살펴 본 결과, 첫째, 수학서의 내용과 형식은 서구의 방식을 따랐으나 수학을 대하는 태도는 전통적인 방식을 그대로 따랐다는 것, 둘째, 결과를 중요시하는 방식에 익숙해 과정을 중요시하는 증명을 어렵게 생각한다는 것, 셋째, 수학 그 자체를 즐기는 수학 문화가 필요하다는 결론에 이르게 되었다.

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수학 자기효능감과 수학성취도의 관계에서 학습전략의 매개효과 - 잠재성장모형의 분석 - (Mediating Effect of Learning Strategy in the Relation of Mathematics Self-efficacy and Mathematics Achievement: Latent Growth Model Analyses)

  • 염시창;박철영
    • 한국수학교육학회지시리즈A:수학교육
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    • 제50권1호
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    • pp.103-118
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    • 2011
  • The study examined whether the relation between mathematics self-efficacy and mathematics achievement was partially mediated by the learning strategies, using latent growth model analyses. It was also examined the auto-regressive, cross-lagged (ARCL) panel model for testing the stability and change in the relation of mathematics self-efficacy and learning strategy over time. The study analyzed the first-year to the third-year data of the Korean Educational Longitudinal Survey (KELS). The result of ARCL panel model analysis showed that earlier mathematics self-efficacy could predict later learning strategy use. There were linear trends in mathematics self-efficacy, learning strategy, and mathematics achievement. Specifically, mathematics achievement was increased over the three time points, whereas mathematics self-efficacy and learning strategies were significantly decreased. In the analyses of latent growth models, the mediating effects of learning strategies were overall supported. That is, both of initial status and change rate of rehearsal strategy partially mediated the relation of mathematics self-efficacy and mathematics achievement. However, in elaboration and meta-cognitive strategies, only the initial status of each variable showed the indirect relationship.

근위경골절골술에서 해부학적 축과 역학적 축의 변화가 경골후방경사각에 미치는 영향 (The Effect of Anatomical Axis and Mechanical Axis on Change of Posterior Tibial Slope Angle in PTO(Proximal Tibial Osteotomy))

  • 신은지;김철웅;이호상;배지훈;왕준호;;오동준
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2008년도 추계학술대회A
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    • pp.1543-1546
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    • 2008
  • The purpose of this study was to investigate factors affecting the change of tibial posterior slope and introduce a mathematical model which calculate, through 3-dimensional analysis of the proximal tibia, how the angle of the opening wedge along the anteromedial tibial cortex influences the tibial posterior slope and valgus correction when performing a medial open wedge osteotomy. This mathematical model with navigation system can be guidelines which provide surgeons on preoperative and intraoperative measurements to maintain or correct the tibial slope and to obtain the desired valgus correction of the lower limb during an opening wedge osteotomy.

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수학교육의 변화와 인공지능과의 연관성 탐색 (A study on the relationship between artificial intelligence and change in mathematics education)

  • 이지혜;허난
    • 한국수학교육학회지시리즈E:수학교육논문집
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    • 제32권1호
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    • pp.23-36
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    • 2018
  • 인공지능(Artificial Intelligence)의 잠재력에 대한 기대로 여러 분야에서 이를 활용하고자 노력하고 있으며 교육 분야에서의 적용에 대한 관심 역시 높다. 교육에 있어서 인공지능 기술에 활용되는 기계학습(machine learning)과 딥러닝(deep learning)으로 스스로 학습하는 방법에 대한 관심을 가지게 되었으며 이러한 방식이 교육에 어떻게 활용될 수 있을 지와 인공지능을 어떻게 수학교육에 적용할 수 있을지에 대한 관심이 대두되고 있다. 이에 정보통신기술의 발달에 따른 수학교육의 변화를 고찰해 봄으로써 수학교육의 변화가 인공지능과 어떠한 연과성이 있는지를 살펴보는데 의의가 있다고 할 수 있다.

두 모집단 모평균 비교의 지도에 관한 연구 (A Study on Teaching Method of Two-Sample Test for Population Mean Difference)

  • 김용태;이장택
    • 한국수학교육학회지시리즈A:수학교육
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    • 제45권2호
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    • pp.145-154
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    • 2006
  • The main purpose of this study is to investigate the effect of departures from normality and equal variance on the two-sample test when the variances are unknown. We have found that type I error brought about a little bit change which is ignorable in relation to kurtosis. But the change of type I error was mainly based on the skewness of the parent population. In introductory statistics classes where data analysis includes techniques for detecting skewness of two populations, we recommend the two-sample t-test when maximal skewness of two populations is smalter than the value 4 when the variances seem equal. Furthermore, our simulations reveal that the two-sample t-test appears somewhat more robust than that of z-test if the assumption of equal variance is satisfied. In the case of unequal variance, the two-sample t-test appears somewhat more robust provided the t-statistic using Satterthwaite's approximate degrees of freedom.

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실험계획법과 수리적방법을 이용한 이산설계 공간에서의 다목적 최적설계 (Multi-objective Optimization in Discrete Design Space using the Design of Experiment and the Mathematical Programming)

  • 이동우;백석흠;이경영;조석수;주원식
    • 대한기계학회논문집A
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    • 제26권10호
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    • pp.2150-2158
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    • 2002
  • A recent research and development has the requirement for the optimization to shorten design time of modified or new product model and to obtain more precise engineering solution. General optimization problem must consider many conflicted objective functions simultaneously. Multi-objective optimization treats the multiple objective functions and constraints with design change. But, real engineering problem doesn't describe accurate constraint and objective function owing to the limit of representation. Therefore this study applies variance analysis on the basis of structure analysis and DOE to the vertical roller mill fur portland cement and proposed statistical design model to evaluate the effect of structural modification with design change by performing practical multi-objective optimization considering mass, stress and deflection.

Escape Behavior of Medaka (Oryzias latipes) in Response to Aerial Predators of Different Sizes and with Different Attack Speeds

  • Lee, Sang-Hee
    • Proceedings of the National Institute of Ecology of the Republic of Korea
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    • 제3권1호
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    • pp.47-53
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    • 2022
  • The escape behavior of prey fish to predator attack is directly linked to the survival of the fish. In this study, I explored the escape behavior of Medaka fish to bird attacks. To simulate the attack, I designed a model triangular-shaped bird to slide along a fishing line connected between rods at both ends of the tank. The triangular shape was set to 10×15 (S=1), 15×20 (S=2), and 20×25 cm (S=3) with base×height. The slope (θ) of the fishing line, which determines the attack speed of the model bird, was set to values of 15° (θ=1), 30° (θ=2), and 45° (θ=3). The escape behavior was characterized using five variables: escape speed (ν), escape acceleration (α), responsiveness (γ), branch length similarity entropy (ε), and alignment (ϕ). The experimental results showed when (S, θ)=(fixed, varied), the change in values of the five variables were not significant. Thus, the fish respond more sensitively to S than to θ In contrast, when (S, θ)=(varied, fixed), ν, α, and γ showed increasing trends but ε and ϕ did not change much. This indicates the nature of fish escape behavior irrespective of the threat is inherent in ε and ϕ. I found that fish escape behavior can be divided into two types for the five physical quantities. In particular, the analysis showed that the type was mainly determined by the size of the model bird.

Flood Risk for Power Plant using the Hydraulic Model and Adaptation Strategy

  • Nguyen, Thanh Tuu;Kim, Seungdo;Van, Pham Dang Tri;Lim, Jeejae;Yoo, Beomsik;Kim, Hyeonkyeong
    • 한국기후변화학회지
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    • 제8권4호
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    • pp.287-295
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    • 2017
  • This paper provides a mathematical approach for estimating flood risks due to the effects of climate change by developing a one dimensional (1D) hydraulic model for the mountainous river reaches located close to the Yeongwol thermal power plant. Input data for the model, including topographical data and river discharges measured every 10 minutes from July $1^{st}$ to September $30^{th}$, 2013, were imported to a 1D hydraulic model. Climate change scenarios were estimated by referencing the climate change adaptation strategies of the government and historical information about the extreme flood event in 2006. The down stream boundary was determined as the friction slope, which is 0.001. The roughness coefficient of the main channels was determined to be 0.036. The results show the effectiveness of the riverbed widening strategy through the six flooding scenarios to reduce flood depth and flow velocity that impact on the power plant. In addition, the impact of upper Namhan River flow is more significant than Dong River.